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Finding the Fourth Proportional to 615.51, 923.27 and 204.65

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Solution

The fourth proportional to 615.51, 923.27 and 204.65 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.51 : 923.27 = 204.65 : x
  2. Step 2: Convert to fraction form
    615.51/923.27 = 204.65/x
  3. Step 3: Cross multiply
    615.51x = 923.27 × 204.65
  4. Step 4: Simplify right side
    615.51x = 188,945.46
  5. Step 5: Solve for x
    x = 188,945.46/615.51
  6. Step 6: Final answer
    x = 306.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.